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Speed of DC shunt motor is directly proportional to___________

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Speed of DC shunt motor is directly proportional to___________

(a) Flux

(b) Back emf

(c) Terminal voltage

(d) Armature resistance drop

I have been asked this question in examination.

My doubt is from Operating Characteristics of DC Shunt Motor topic in chapter Characteristics of DC Motors of DC Machines

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Right answer is (b) Back emf

The best explanation: The armature circuit equation for DC shunt motor is given by Ea = Vt -IaRa. But back emf is also equal to kφn. Thus, kφn= Vt -IaRa, which further gives n = (Vt -IaRa)/ kφ. Hence, speed is directly proportional to back emf.

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